Factoring Perfect Square Trinomials

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial. It has the form (a ± b)² = a² ± 2ab + b².

Front

Factor: x² - 20x + 100

Back

(x - 10)²

Front

Factor: x² - 30x + 225

Back

(x - 15)²

Front

Factor: x² - 4x + 4

Back

(x - 2)²

Front

Factor: n² + 10n + 25

Back

(n + 5)²

Front

Which of the following is a perfect square trinomial? x² - 4x - 4, x² - 6x - 9, x² + 6x - 9, x² - 4x + 4

Back

x² - 4x + 4

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² ± 2ab + b².

Front

Identify the values of a and b in the trinomial x² - 16x + 64.

Back

a = 1, b = 8 (since (x - 8)² = x² - 16x + 64).

Front

What is the first step in factoring a perfect square trinomial?

Back

Identify if the trinomial can be expressed as (x ± b)² by checking if the first and last terms are perfect squares.

Front

Factor: 4x² - 16x + 16

Back

(2x - 4)²